That seems managable when you have 3 candidates. What happens when there are 10 or 20 candidates? Would voters have to list their top 10 or 20 choices?
In practice here, even in such large contests the top 5 candidates normally end up with 90% of the vote and there's enough overlap between the parties (the further left parties transferring to centre left, the two centre right parties transferring to each other) that there's normally a clear leader by then, it's rare that e.g. a candidate with 48% gets eliminated in favour of a candidate with 49% in the last round.